Booklet Printing

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Problem

Given the number of pages,
determine the order of pages to print a booklet with 2-up and duplexing.
For example, if the number of pages 8 is given,
output the ordered sequence '8 1 2 7 6 3 4 5'.
When a given number is not multiple of 4, change the order after adding some empty pages '_' at the end of pages.

Options

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Sample input:_

Sample output:

36 1 2 35 34 3 4 33 32 5 6 31 30 7 8 29 28 9 10 27 26 11 12 25 24 13 14 23 22 15 16 21 20 17 18 19

Sample input:_

Sample output:

_ 1 2 _ _ 3 4 57 56 5 6 55 54 7 8 53 52 9 10 51 50 11 12 49 48 13 14 47 46 15 16 45 44 17 18 43 42 19 20 41 40 21 22 39 38 23 24 37 36 25 26 35 34 27 28 33 32 29 30 31

Sample input:_

Sample output:

_ 1 2 _ 110 3 4 109 108 5 6 107 106 7 8 105 104 9 10 103 102 11 12 101 100 13 14 99 98 15 16 97 96 17 18 95 94 19 20 93 92 21 22 91 90 23 24 89 88 25 26 87 86 27 28 85 84 29 30 83 82 31 32 81 80 33 34 79 78 35 36 77 76 37 38 75 74 39 40 73 72 41 42 71 70 43 44 69 68 45 46 67 66 47 48 65 64 49 50 63 62 51 52 61 60 53 54 59 58 55 56 57

Ranking

Ruby _

Rank	User	Size	Time	Date	Statistics
1	leonid	68	0.0773	2012/02/24 03:50:52	0B / 24B / 41B
2	ukzk	69	0.0412	2009/12/08 21:30:00	0B / 31B / 36B
3	ksk	70	0.0750	2009/05/03 16:32:47	0B / 24B / 45B
4	kodera	71	0.2628	2007/06/18 01:21:51	0B / ?B / ?B
5	yowa	72	0.0850	2007/09/08 07:02:53	0B / 28B / 39B
6	clock	72	0.0528	2012/08/13 13:32:09	0B / 28B / 40B
7	ozy4dm	73	0.2752	2007/02/19 17:21:43	0B / 28B / 44B
8	shinh	74	0.2823	2007/02/18 23:10:22	0B / 38B / 33B
9	eban	96	0.2432	2007/02/19 23:08:47	0B / 37B / 52B
10	flagitious(unembeded)	113	0.3368	2007/02/19 02:18:21	0B / 54B / 52B
11	tabasa	239	0.1307	2007/10/10 15:21:18	16B / 102B / 99B

Perl _

Rank	User	Size	Time	Date	Statistics
1	tails	51	0.0325	2019/04/02 10:56:53	0B / 27B / 24B
2	teebee	52	0.0418	2011/10/22 00:56:18	0B / 17B / 35B
3	ySas	62	0.0554	2007/12/09 17:54:55	0B / 26B / 34B
4	Mithran	74	0.2837	2008/01/04 20:30:33	0B / 36B / 37B
5	Hem	87	0.0035	2011/10/06 23:28:16	0B / 29B / 57B

Python _

Rank	User	Size	Time	Date	Statistics
1	leonid	76	0.1406	2012/02/27 02:14:31	0B / 38B / 34B
2	hallvabo	80	0.0995	2010/09/10 13:49:29	0B / 34B / 43B
3	twobit	80	0.2184	2011/05/13 06:53:26	0B / 36B / 41B
4	nn	82	0.0065	2010/02/20 10:05:50	0B / 42B / 38B
5	kt3k	85	0.1331	2007/12/28 04:44:38	0B / 42B / 36B
6	fuzzylojik	88	0.0938	2023/09/15 06:16:45	0B / 41B / 46B
7	Mark Byers	90	0.3613	2007/02/26 09:15:42	0B / 34B / 51B
8	shimizu	94	0.3497	2007/02/23 04:33:01	0B / ?B / ?B
9	mskzzzz	138	0.3229	2007/05/19 19:55:07	0B / 64B / 59B

Python3 _

Rank	User	Size	Time	Date	Statistics
1	mypetlion	93	0.1367	2020/02/22 06:36:32	0B / 47B / 41B

PHP _

Rank	User	Size	Time	Date	Statistics
1	teebee	65	0.0806	2011/10/21 12:05:02	1B / 27B / 37B
2	o-cn	72	0.0208	2009/12/30 03:58:51	1B / ?B / ?B
3	beton	98	0.5125	2007/05/03 06:24:29	0B / 40B / 57B

Scheme _

Rank	User	Size	Time	Date	Statistics
1	hirofummy	136	0.2390	2007/02/25 21:51:27	0B / ?B / ?B
2	ma	157	0.1863	2007/02/18 21:53:47	0B / ?B / ?B

Common LISP _

Rank	User	Size	Time	Date	Statistics
1	kozima	118	0.0852	2010/01/13 09:01:58	0B / 50B / 53B
2	shimizu	129	0.6451	2007/02/23 04:36:58	0B / ?B / ?B
3	hebiyan	811	0.0591	2015/09/25 17:02:28	0B / ?B / ?B

Io _

Rank	User	Size	Time	Date	Statistics
1	teebee	107	0.2208	2013/12/30 05:36:36	0B / 58B / 47B
2	murky-satyr	117	2.4537	2008/03/04 12:06:27	0B / 65B / 48B
3	pooq	143	0.4989	2011/01/04 19:19:56	0B / 83B / 56B

JavaScript _

Rank	User	Size	Time	Date	Statistics
1	teebee	66	0.1079	2012/05/25 07:24:02	0B / 31B / 34B
2	nn	71	0.0714	2012/05/24 22:42:44	0B / 34B / 35B
3	ETHproductions	77	0.0693	2016/04/17 03:09:45	0B / 34B / 42B
4	murky-satyr	91	0.0826	2008/06/20 05:35:41	0B / 41B / 47B
5	nanto_vi	96	0.1665	2007/03/08 00:05:07	0B / 48B / 48B
6	kaki	97	0.0027	2010/01/12 22:20:34	0B / 39B / 57B
7	motemen	98	0.2896	2007/03/03 20:00:24	0B / ?B / ?B
8	Dashiva	118	0.1152	2007/04/21 03:09:30	3B / 45B / 66B

Lua _

Rank	User	Size	Time	Date	Statistics
1	tehtmi	95	0.0321	2019/04/03 11:03:29	0B / 50B / 38B
2	clock	97	0.0320	2019/04/02 22:38:22	0B / 55B / 30B
3	twobit	118	0.0345	2011/05/13 08:15:36	0B / 65B / 40B
4	murky-satyr	131	0.0622	2008/06/20 05:50:05	0B / 70B / 48B

Tcl _

Rank	User	Size	Time	Date	Statistics
1	clock	152	0.0483	2012/08/26 11:01:41	0B / 76B / 52B
2	user	175	0.3855	2007/03/02 17:44:29	0B / ?B / ?B

Xtal _

Rank	User	Size	Time	Date	Statistics
1	pooq	103	0.3286	2007/08/27 11:55:09	0B / 46B / 56B

Icon _

Rank	User	Size	Time	Date	Statistics
1	clock	96	0.0337	2012/08/13 13:16:59	0B / 52B / 39B

Smalltalk _

Rank	User	Size	Time	Date	Statistics
1	murky-satyr	134	0.4063	2008/04/10 21:49:13	0B / 69B / 59B
2	sumim	228	0.8558	2007/02/21 18:10:14	0B / 133B / 74B

Prolog _

Rank	User	Size	Time	Date	Statistics
1	mskzzzz	122	0.3238	2007/05/28 02:31:58	0B / 61B / 57B

BASIC _

Rank	User	Size	Time	Date	Statistics
1	yuko	94	0.0432	2011/10/22 18:19:50	0B / 49B / 32B
2	nn	104	0.0046	2011/07/16 21:30:07	0B / 53B / 37B
3	pooq	116	0.1519	2007/08/01 22:23:35	0B / 55B / 49B
4	yt	133	0.1757	2007/02/26 12:28:53	0B / ?B / ?B

Perl6 _

Rank	User	Size	Time	Date	Statistics
1	Hydrazer	639	1.1907	2021/06/16 09:24:38	0B / 404B / 27B

Erlang _

Rank	User	Size	Time	Date	Statistics
1	51b	214	0.9209	2007/12/27 18:50:28	0B / 102B / 100B
2	mskzzzz	235	1.8574	2007/06/02 04:28:25	0B / 118B / 108B

J _

Rank	User	Size	Time	Date	Statistics
1	I., S.	50	0.0856	2011/07/11 21:47:19	0B / 13B / 37B
2	pooq	63	0.1979	2008/03/05 07:57:30	0B / 19B / 43B

C _

Rank	User	Size	Time	Date	Statistics
1	tails	87	0.0214	2018/08/24 18:15:07	0B / 39B / 46B
2	nn	88	0.0025	2011/05/08 02:43:27	0B / 40B / 46B
3	7gyou	93	0.0509	2008/01/26 01:01:57	0B / 41B / 50B
4	inaniwa	93	0.0009	2010/02/16 14:25:06	0B / 43B / 48B
5	ozy4dm	96	0.0608	2007/02/19 15:55:42	0B / 42B / 52B
6	shinh	98	0.0655	2007/02/19 10:49:56	0B / 44B / 52B
7	hallvabo	98	0.0017	2010/09/10 14:23:30	0B / 45B / 51B
8	51b	99	0.0492	2007/12/27 19:13:23	0B / 45B / 52B
9	hinoe	106	0.0676	2007/02/19 00:28:09	0B / 49B / 55B

C++ _

Rank	User	Size	Time	Date	Statistics
1	nn	106	0.0035	2011/05/08 02:45:09	0B / 52B / 50B
2	7gyou	109	0.6684	2007/02/24 03:50:57	0B / 53B / 52B

D _

Rank	User	Size	Time	Date	Statistics
1	51b	131	0.0233	2007/12/27 19:18:42	0B / 68B / 58B

OCaml _

Rank	User	Size	Time	Date	Statistics
1	ksk	124	0.6886	2009/05/03 16:16:39	0B / 65B / 51B
2	shinh	139	0.2400	2007/02/19 01:53:54	0B / 74B / 60B
3	jijixi	268	0.2983	2007/02/18 23:30:37	0B / 168B / 63B

Haskell _

Rank	User	Size	Time	Date	Statistics
1	henkma	102	0.0038	2011/09/12 22:57:01	0B / 55B / 42B
2	notogawa	106	0.0467	2010/12/01 01:41:12	0B / 61B / 41B
3	rst76	106	0.0787	2012/06/20 01:01:10	0B / 56B / 44B
4	koyama41	107	0.0385	2010/12/01 17:22:10	0B / 59B / 46B
5	tanakh	117	0.0831	2007/03/08 01:55:57	0B / ?B / ?B
6	_	118	0.0907	2007/02/19 10:34:56	0B / 61B / 55B
7	blue	123	0.1280	2007/02/19 10:14:01	0B / ?B / ?B
8	emoken	123	0.0991	2007/02/20 18:21:41	0B / ?B / ?B
9	tttaki	137	0.0568	2009/02/19 20:52:07	0B / 77B / 49B

Ada _

Rank	User	Size	Time	Date	Statistics
1	D	185	0.1184	2007/03/30 18:58:02	0B / 108B / 61B
2	yt	199	0.1001	2007/03/14 19:10:30	0B / ?B / ?B

Java _

Rank	User	Size	Time	Date	Statistics
1	teebee	119	0.1955	2014/11/07 07:07:23	0B / 61B / 54B
2	teebee(nocheat)	126	0.2428	2011/10/21 12:37:21	0B / 70B / 51B
3	nn	133	0.3962	2011/07/10 11:45:14	0B / 74B / 54B
4	hallvabo	143	0.4788	2010/09/10 14:31:29	0B / 83B / 55B

Pascal _

Rank	User	Size	Time	Date	Statistics
1	yuko	145	0.0028	2011/07/17 01:23:59	0B / 93B / 36B
2	uru	154	0.0011	2009/12/20 00:53:07	0B / 92B / 49B
3	yt	193	0.1286	2007/03/14 19:09:43	0B / ?B / ?B

Fortran _

Rank	User	Size	Time	Date	Statistics
1	yuko	110	0.0417	2011/11/11 10:15:30	0B / 57B / 49B

C# _

Rank	User	Size	Time	Date	Statistics
1	teebee	150	0.1679	2012/10/29 02:03:50	0B / 85B / 57B
2	fuzzylojik	188	0.1318	2023/09/15 22:53:05	0B / 92B / 86B

COBOL _

Rank	User	Size	Time	Date	Statistics
1	yuko(LF)	383	0.0079	2011/07/23 13:51:26	0B / 271B / 44B

Maxima _

Rank	User	Size	Time	Date	Statistics
1	clock	106	0.4673	2012/10/31 17:51:52	0B / 62B / 39B
2	pooq	131	0.5962	2011/01/04 17:54:28	0B / 71B / 53B

Octave _

Rank	User	Size	Time	Date	Statistics
1	pooq	151	0.6290	2011/10/21 22:21:13	0B / 83B / 63B

REBOL _

Rank	User	Size	Time	Date	Statistics
1	clock	121	0.1043	2012/08/18 12:06:04	0B / 58B / 38B

Asymptote _

Rank	User	Size	Time	Date	Statistics
1	teebee	82	0.4081	2011/12/18 00:49:32	0B / 41B / 39B

AWK _

Rank	User	Size	Time	Date	Statistics
1	teebee	47	0.0423	2011/10/21 12:03:13	0B / 18B / 29B
2	nn	52	0.0040	2010/01/22 17:36:45	0B / 21B / 31B
3	usa	80	0.0656	2007/02/19 15:26:56	0B / 25B / 52B
4	eban	80	0.0792	2007/02/19 23:09:23	0B / 25B / 52B

sed _

Rank	User	Size	Time	Date	Statistics
1	emoken	252	0.2284	2008/02/10 17:51:43	0B / 69B / 151B

bc _

Rank	User	Size	Time	Date	Statistics
1	teebee	78	0.0415	2011/10/21 12:17:08	0B / 35B / 41B
2	McBusLuck	91	0.0206	2020/05/29 23:35:21	0B / 49B / 35B

dc _

Rank	User	Size	Time	Date	Statistics
1	tails	68	0.0384	2011/05/12 09:23:53	0B / 46B / 22B

xgawk _

Rank	User	Size	Time	Date	Statistics
1	teebee	47	0.0483	2012/05/25 08:26:10	0B / 18B / 29B

Postscript _

Rank	User	Size	Time	Date	Statistics
1	ySas	68	0.5313	2007/12/26 22:57:27	24B / 25B / 18B
2	yshl(bin)	69	0.5242	2007/12/27 06:32:45	22B / 27B / 17B
3	yshl	110	0.5923	2007/12/27 06:32:37	0B / 77B / 18B

R _

Rank	User	Size	Time	Date	Statistics
1	olf	84	0.3284	2020/03/15 02:00:28	0B / 41B / 42B
2	clock	85	0.5912	2012/10/15 05:37:03	0B / 41B / 43B
3	pooq	112	0.9410	2011/01/04 17:32:06	0B / 46B / 64B
4	NikNakk	117	0.5527	2014/07/06 06:34:01	0B / ?B / ?B

Whitespace _

Rank	User	Size	Time	Date	Statistics
1	kaz_u	191	0.0197	2015/05/28 23:39:36	0B / 0B / 0B
2	%20	215	0.0370	2015/05/25 17:47:11	0B / 0B / 0B

Befunge _

Rank	User	Size	Time	Date	Statistics
1	kaki	105	0.0042	2011/01/06 17:55:07	0B / 30B / 65B

Aheui _

Rank	User	Size	Time	Date	Statistics
1	Puzzlet Chung	218	0.0319	2015/03/03 09:58:24	210B / 0B / 0B

GolfScript _

Rank	User	Size	Time	Date	Statistics
1	clock	38	0.1173	2012/05/08 14:08:43	0B / 8B / 29B
2	flagitious	39	0.3400	2008/01/01 15:25:17	0B / 3B / 35B
3	%20	60	0.0667	2015/05/25 18:43:14	0B / 18B / 41B

Burlesque _

Rank	User	Size	Time	Date	Statistics
1	clock	48	0.0387	2019/09/21 13:00:07	0B / 24B / 24B

z80 _

Rank	User	Size	Time	Date	Statistics
1	yuko	58	0.6960	2011/07/16 01:54:31	31B / 15B / 11B
2	ySas	75	0.4612	2007/12/27 00:19:06	39B / 15B / 15B

Vim _

Rank	User	Size	Time	Date	Statistics
1	clock	47	0.2413	2011/12/22 01:10:01	6B / 26B / 12B
2	pla	54	0.1962	2010/03/16 04:59:58	4B / 35B / 14B
3	nn	54	0.2894	2010/11/07 23:08:34	3B / 35B / 15B

goruby _

Rank	User	Size	Time	Date	Statistics
1	leonid	60	0.3710	2012/02/24 04:49:42	0B / 22B / 34B
2	murky-satyr	62	0.3876	2008/07/26 09:23:17	0B / 24B / 36B

Groovy _

Rank	User	Size	Time	Date	Statistics
1	teebee	73	3.2685	2011/10/22 18:26:32	0B / 36B / 36B
2	nn	82	3.6466	2010/01/22 17:38:21	0B / 39B / 42B
3	murky-satyr	103	9.9469	2008/02/29 07:05:02	0B / 51B / 46B

Scala _

Rank	User	Size	Time	Date	Statistics
1	rotary-o	92	7.4436	2021/07/24 02:24:39	0B / 46B / 38B
2	clock	97	6.6174	2019/10/23 13:33:08	0B / 54B / 35B
3	pooq	114	10.6012	2011/02/19 06:12:59	0B / 61B / 44B

Logo _

Rank	User	Size	Time	Date	Statistics
1	clock	107	0.0497	2013/01/30 19:14:24	0B / 58B / 30B
2	pooq	127	0.0339	2011/04/03 07:37:08	0B / 67B / 46B

Language Ranking_

Rank	Lang	User	Size	Score
1	GolfScript	clock	38	10000
2	AWK	teebee	47	8085
3	Vim	clock	47	8085
4	xgawk	teebee	47	8085
5	Burlesque	clock	48	7916
6	J	I., S.	50	7600
7	Perl	tails	51	7450
8	z80	yuko	58	6551
9	goruby	leonid	60	6333
10	PHP	teebee	65	5846
11	JavaScript	teebee	66	5757
12	Postscript	ySas	68	5588
13	dc	tails	68	5588
14	Ruby	leonid	68	5588
15	Groovy	teebee	73	5205
16	Python	leonid	76	5000
17	bc	teebee	78	4871
18	Asymptote	teebee	82	4634
19	R	olf	84	4523
20	C	tails	87	4367
21	Scala	rotary-o	92	4130
22	Python3	mypetlion	93	4086
23	BASIC	yuko	94	4042
24	Lua	tehtmi	95	4000
25	Icon	clock	96	3958
26	Haskell	henkma	102	3725
27	Xtal	pooq	103	3689
28	Befunge	kaki	105	3619
29	C++	nn	106	3584
30	Maxima	clock	106	3584
31	Logo	clock	107	3551
32	Io	teebee	107	3551
33	Fortran	yuko	110	3454
34	Common LISP	kozima	118	3220
35	Java	teebee	119	3193
36	REBOL	clock	121	3140
37	Prolog	mskzzzz	122	3114
38	OCaml	ksk	124	3064
39	D	51b	131	2900
40	Smalltalk	murky-satyr	134	2835
41	Scheme	hirofummy	136	2794
42	Pascal	yuko	145	2620
43	C#	teebee	150	2533
44	Octave	pooq	151	2516
45	Tcl	clock	152	2500
46	Ada	D	185	2054
47	Whitespace	kaz_u	191	1989
48	Erlang	51b	214	1775
49	Aheui	Puzzlet Chung	218	1743
50	sed	emoken	252	1507
51	COBOL	yuko(LF)	383	992
52	Perl6	Hydrazer	639	594

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